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Thermo‐hydro‐mechanical modeling of fluid geological storage by Godunov‐mixed methods
Author(s) -
Castelletto N.,
Ferronato M.,
Gambolati G.
Publication year - 2012
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.3352
Subject(s) - finite element method , porous medium , fluid dynamics , mechanics , discontinuous galerkin method , mathematics , flow (mathematics) , aquifer , convection , heat transfer , deformation (meteorology) , godunov's scheme , computer science , geology , numerical analysis , porosity , engineering , geotechnical engineering , physics , mathematical analysis , groundwater , structural engineering , oceanography
SUMMARY The efficient solution to the coupled system of PDEs governing the mass and the energy balance in deformable porous media requires advanced numerical algorithms. A combination of mixed/Galerkin finite elements and finite volumes along with a staggered method are employed. Fluid flow and heat transfer are addressed iteratively by a fully coupled approach and the medium deformation by an explicitly coupled scheme, at each time step. Such formulation allows for stable numerical solutions, element‐wise conservative velocity fields and accurate prediction of sharp temperature convective fronts. The proposed model is experimented with in realistic applications of a deep aquifer fluid injection. Copyright © 2012 John Wiley & Sons, Ltd.